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Finding the Third Proportional to 31,772,254 and 49,096,224

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Solution

The third proportional to 31,772,254 and 49,096,224 is: 75,866,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,254 : 49,096,224 = 49,096,224 : x
  2. Step 2: Convert to fraction form
    31,772,254/49,096,224 = 49,096,224/x
  3. Step 3: Cross multiply
    31,772,254x = 49,096,224 × 49,096,224
  4. Step 4: Simplify right side
    31,772,254x = 2,410,439,211,058,176
  5. Step 5: Solve for x
    x = 2,410,439,211,058,176/31,772,254
  6. Step 6: Final answer
    x = 75,866,169.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.